Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys

被引：9
|
作者：
Frigeri, Sergio [2 ]
Stefanelli, Ulisse [1 ,3 ]
机构：
[1] WIAS, D-10115 Berlin, Germany
[2] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy
[3] IMATI CNR, I-27100 Pavia, Italy
来源：
CONTINUUM MECHANICS AND THERMODYNAMICS | 2012年 / 24卷 / 01期
关键词：
Shape-memory alloys; Finite-strain; Phase transformations in solids; Rate-independence; Existence; Time-discretization; SOLID-PHASE TRANSFORMATIONS; RATE-INDEPENDENT MODEL; 3-DIMENSIONAL MODEL; PSEUDOELASTICITY; EVOLUTION; 3D; ELASTOPLASTICITY; MINIMIZERS; SMA;
D O I：
10.1007/s00161-011-0221-x
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
We prove the global existence of solutions for a shape-memory alloys constitutive model at finite strains. The model has been presented in Evangelista et al. (Int J Numer Methods Eng 81(6):761-785, 2010) and corresponds to a suitable finite-strain version of the celebrated Souza-Auricchio model for SMAs (Auricchio and Petrini in Int J Numer Methods Eng 55:1255-1284, 2002; Souza et al. in J Mech A Solids 17:789-806, 1998). We reformulate the model in purely variational fashion under the form of a rate-independent process. Existence of suitably weak (energetic) solutions to the model is obtained by passing to the limit within a constructive time-discretization procedure.
引用
收藏
页码：63 / 77
页数：15
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